Week 3: Testing Mean Differences and Associations

Weekly Objectives

We will review

• Philosophy of Statistical hypothesis test
• Type I and Type II errors
• Statistical power
• Interpreting \(p\) values

New objectives

• One and two sample \(z\)-tests
• One and two sample \(t\)-tests
• t-distribution
• One sided and two sided tests
• Contingency tables
• Fisher’s exact test
• Chi-square \((\chi^2)\) distribution
• Chi-Square test for independence
• Issues of multiple testings

Lecture Note

• [Statistical Tests]
• The original .Rmd [Source File] used to generate the lecture note
• The Cleveland Clinic Heart Disease Dataset in .csv format. This data is also available on Kaggle).

Homework

• Reading: Finish Sections 5.5.4 from the BPS textbook
• Finish the practice questions in the lecture note